Asymptotic Behavior of Spectrums for Elliptic Pseudo-differential Operators

[摘要] The aim of this dissertation is to study the asymptotic behaviors of spectrums for Elliptic Pseudo-seudodifferential Operators. In this work we included two results. First we studied the Nodal set of Steklov Eigenfunctions and obtained a lower bound for its size. Then we refined an end pioint estimate of Laplace-Beltrami eigenfunctions restricted to totally geodesic submanifolds.

[发布机构] Johns Hopkins University

[效力级别] Eigenfunction

[关键词] Spectrum;Eigenfunction;Nodal Sets;Restriction to Submanifolds;Mathematics